CMPS 12A Introduction to Programming Midterm 2 Review Problems
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1 CMPS 12A Introduction to Programming Midterm 2 Review Problems Note: Do problems 4, 5 and 9 from the Midterm 1 review sheet. Problems 6, 8 and 9 from this sheet have not yet been covered. We'll see how far we get by Monday. 1. Determine the output of the following Java program. Notice that the method fcn2() is overloaded, so there are really three distinct functions here. // Problem1.java class Problem1{ public static void main( String[] args ){ int a=5, b=3, c; double x=2.2, y=1.3, z; c = fcn1(a, b); b = fcn2(x, y); z = fcn2(c, b); System.out.println("a="+a+", b="+b+", c="+c); System.out.println("x="+x+", y="+y+", z="+z); System.out.println("bye!"); static int fcn1(int i, int j){ int k = (i++) + (++j); return k+2; static int fcn2(double u, double v){ return fcn1((int)(u+v), 3); static double fcn2(int r, int s){ return (double)fcn1(r+s, 3); 2. Fill in the definition of function concatenate() below. This function takes as input two int arrays A and B, of any length, and returns a new int array that is the concatenation of A and B, i.e. the length of the returned array is the sum of the lengths of A and B, and the contents of the returned array are the values in A followed by the values in B. static int[] concatenate(int[] A, int[] B){ // your code starts here // your code ends here
2 3. Determine the output of the following Java program. Note that the function f() is recursive. // Problem3.java class Problem3{ public static void main(string[] args) { System.out.println(f(7)); static int f(int n){ System.out.println( "f(" + n + ")" ); if(n<=1) return 2; else return f(n-1) + 5; 4. Write a recursive function called sum() that takes a single int n as input and returns the sum of the positive integers from 1 to n. (Hint: this is the same as the recursive function that computes n! (n factorial) discussed in class, except with multiplication replaced by addition.) static int sum(int n){ Determine the output of the following Java program. (Hint: first figure out what each of the methods f(), g() and h() do, then put the pieces together.) // Problem5.java class Problem5{ public static void main(string[] args){ int[][] A = {{2, 4,{5, -1; int[][] B = {{5, 3,{-3, 2; System.out.println(f(A)); h(b); System.out.println(f(g(B))); h(g(a)); static int f(int[][] M){ return M[0][0]*M[1][1]-M[0][1]*M[1][0]; static int[][] g(int[][] M){ int[][] N = new int[2][2]; for(int i=0; i<2; i++) for(int j=0; j<2; j++) N[i][j] = M[j][i]; return N; static void h(int[][] M){ for(int i=0; i<2; i++){ for(int j=0; j<2; j++) System.out.print(M[i][j]+" "); System.out.println();
3 6. Determine the output of the following Java program. This program consists of two files Blah.java and BlahTest.java defining the classes Blah and BlahTest respectively. // Blah.java class Blah{ private int foo; private double bar; Blah(int f, double b){ foo = f; bar = b; Blah(int a, int b){ foo = a+b; bar = 0.0; int getfoo(){ return foo; void setbar(double x){ bar = x; void mult(){ bar *= foo; public String tostring(){ return "("+foo+", "+bar+")"; public boolean equals(object x){ boolean eq = false; Blah B; if( x instanceof Blah ){ B = (Blah)x; eq = (foo==b.foo && bar==b.bar); return eq; // BlahTest.java class BlahTest{ public static void main(string[] args){ Blah A = new Blah(15, 3.0); Blah B = new Blah(7, 8); System.out.println(A); System.out.println(B); A.mult(); B.setBar(45.0); System.out.println(A.equals(B));
4 7. Complete the methods getmaxindex() and getminindex() in the Java program below. These function should return the index at which the maximum (respectively minimum) value of its array argument is stored. Functions getmaxindex() and getminindex() should work on any int array of any length, not just the one specified in function main() below. // Problem7.java class Problem7{ public static void main(string[] args){ int [] list = {3, 9, 6, 12, 23, -25, 54, 9, 0, -12, 27; System.out.println(list[getMaxIndex(list)]); // prints 54 System.out.println(list[getMinIndex(list)]); // prints -25 static int getmaxindex(int[] A){ // your code starts here // your code ends here static int getminindex(int[] A){ // your code starts here // your code ends here
5 8. Determine the output of the following Java program. This program consists of two files: Point.java which defines the Point class, and PointTest.java which defines the PointTest class and contains function main(). // Point.java class Point{ // Fields private int xcoord; private int ycoord; // Constructor Point(int x, int y){ xcoord = x; ycoord = y; // Methods public String tostring(){ return "(" + xcoord + ", " + ycoord + ")"; void reflect(){ int temp = xcoord; xcoord = ycoord; ycoord = temp; boolean isleftof(point P){ return (this.xcoord < P.xcoord); boolean isbelow(point P){ return (this.ycoord < P.ycoord); // PointTest.java class PointTest{ public static void main( String[] args ){ Point A = new Point(1, 5); Point B = new Point(2, -3); Point C = new Point(4, 3); Point D = new Point(8, 7); String str1, str2; A.reflect(); D.reflect(); System.out.println("A = " + A); System.out.println("B = " + B); System.out.println("C = " + C); System.out.println("D = " + D); str1 = A.isLeftOf(B)?"left":"right"; str2 = C.isBelow(D)?"below":"above"; System.out.println("A is to the " + str1 + " of B"); System.out.println("C is " + str2 + " D"); 9. Write a Java class called Distance that encapsulates a single data field of type double representing a distance measured in Meters. Write a single constructor for the class that takes a double argument and copies its value to the data field. Write three access functions called getmeters(), getfeet() and getfurlongs() that return respectively: the value stored in the data field, the distance measured in feet and the distance measured in furlongs. (Google "feet per meter" and "furlongs per meter" to learn the relevant conversion factors.)
6 10. Write a function with the heading static void printstringarray(string[] X) that prints out the elements of its String[] argument X to stdout in reverse order, each on a separate line. In other words if X is the array {"one", "two", "three", then the output will be: three two one 11. Write a function with the heading static void sortstringarray(string[] X) that sorts the elements of its String[] argument X in (increasing) alphabetical order. Thus if X is the array {one, two, three, four, then a call to sortstringarray() on X will change it to {four, one, three, two. Hint: follow one of the examples BubbleSort.java or SelectionSort.java discussed in class. To compare two Strings as to their alphabetic order, use function compareto() belonging to the String class (in the library java.lang.) 12. Re-write the example BinarySearch.java so as to search an array of Strings for a target String. 13. Re-write SelectionSort.java from the lecture examples so as to implement the "dual" version of the algorithm, i.e. put the sorted sub-array on the right and unsorted sub-array on the left. Do the same for BubbleSort.java, this time placing the sorted sub-array on the left and unsorted sub-array on the right.
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